| 自同构群的阶为无立方因子的有限幂零群 |
| |
| 作者单位： | ;1.云南民族大学数学与计算机科学学院;2.广西大学数学与信息科学学院;3.广西大学广西高校数学及其应用重点实验室 |
| |
| 摘 要： | 讨论了自同构群的阶为4p_1~2p_2~2…p_n~2的有限幂零群,得出了它们的同构分类.
|
| 关 键 词： | 自同构群 循环群 幂零群 群阶 |
Finite nilpotent groups of automorphism groups with a cubefree order |
| |
| Affiliation: | ,School of Mathematics and Computer Sciences,Yunnan Minzu University,School of Mathematics and Information Sciences,Guangxi University,Key Laboratory of Mathematics and its Application for Guangxi Colleges and Universities,Guangxi Universviy |
| |
| Abstract: | This research has solved the equation | Aut( G) | = 4p_1~2p_2~2…p_n~2 and found out all finite nilpotent groups G. |
| |
| Keywords: | automorphism group cyclic group nilpotent group group order |
| 本文献已被 CNKI 等数据库收录！ |
